Title: When do some geodesics of the induced and the metrical connection coincide?
Authors: Dillen, Franki ×
Vrancken, Luc #
Issue Date: 1998
Publisher: Wiley-v c h verlag gmbh
Series Title: Mathematische nachrichten vol:192 pages:173-189
Abstract: In affine differential geometry, three natural connections can be considered, namely the induced connection, the Levi Civita connection of the affine metric and the conjugate connection. Quadrics are characterized by the conditions that all the pre-geodesics with respect to one of these connections are also pre-geodesics with respect to the other two connections. In the present paper we describe 3-dimensional affine hypersurfaces for which some of the geodesics or pre-geodesics for the different connections coincide.
ISSN: 0025-584X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
× corresponding author
# (joint) last author

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